1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Solve inequality involving modulus

  1. Oct 25, 2012 #1

    utkarshakash

    User Avatar
    Gold Member

    1. The problem statement, all variables and given/known data
    Find the solution set of [itex] \large \frac{|x-1|(x-3)(x-5)^{2010}}{(|x|-3)(|x|+1)} \geq 0[/itex]


    2. Relevant equations
    I am required to solve this using Wavy-Curve method

    3. The attempt at a solution
    The critical points are 3 and 5. But I don't know what to do with expressions involving modulus signs.
     
  2. jcsd
  3. Oct 26, 2012 #2

    SammyS

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    For what values of x is |x|-3 = 0 ?

    For what values of x is |x|+1 = 0 ?
     
  4. Oct 26, 2012 #3

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    Not sure how you're defining critical points, but interesting things will happen at -3, 1, 3 and 5. I would break it into the five ranges those points generate and consider each separately.
    But first, there's a very easy simplification. Think about the (|x|+1) term.
     
  5. Oct 26, 2012 #4

    utkarshakash

    User Avatar
    Gold Member

    Okay I got the answer.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Solve inequality involving modulus
Loading...